document.write( "Question 63791: Solve this word problem. The cost of 1000 cubic feed of natural gas is $39 and the cost of 3000 cubic feet is $99. There is a linear equation that expresses the cost C in terms of the number of cubic feet n. Find the equation and find the cost of 2400 cubic feet of natural gas.\r
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\n" ); document.write( "\n" ); document.write( "Thank you.
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Algebra.Com's Answer #46234 by venugopalramana(3286)\"\" \"About 
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Solve this word problem. The cost of 1000 cubic feed of natural gas is $39 and the cost of 3000 cubic feet is $99. There is a linear equation that expresses the cost C in terms of the number of cubic feet n. Find the equation and find the cost of 2400 cubic feet of natural gas.
\n" ); document.write( "Please explain the procedure you used to solve this problem.
\n" ); document.write( "Thank you.
\n" ); document.write( "LET COST OF GAS C BE RELATED TO QUANTITY Q BY THE LINEAR RELATION
\n" ); document.write( "C=A*Q+B.WHERE A AND B ARE CONSTANTS TO BE FOUND.
\n" ); document.write( "WEW HAVE C=39$ WHEN Q=1000 CUF AND C=99$ WHEN Q = 3000 CUF.SO
\n" ); document.write( "1000A+B=39................1
\n" ); document.write( "3000A+B=99...................2
\n" ); document.write( "EQN.2 - EQN.1
\n" ); document.write( "3000A+B-1000A-B=99-39
\n" ); document.write( "2000A=60
\n" ); document.write( "A=60/2000=3/100=0.03
\n" ); document.write( "PUTTING IN EQN.1
\n" ); document.write( "1000*0.03+B=39
\n" ); document.write( "30+B=39
\n" ); document.write( "B=39-30=9
\n" ); document.write( "HENCE
\n" ); document.write( "C=0.03Q+9 IS THE LINEAR RELATION
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